Theorem bj-imim21i

Description: Inference associated with bj-imim21 . Its associated inference is syl5 . (Contributed by BJ, 19-Jul-2019)

	Ref	Expression
Hypothesis	bj-imim21i.1	|- ( ph -> ps )
Assertion	bj-imim21i	|- ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> th ) ) )

Proof

Step	Hyp	Ref	Expression
1		bj-imim21i.1	|- ( ph -> ps )
2		bj-imim21	|- ( ( ph -> ps ) -> ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> th ) ) ) )
3	1 2	ax-mp	|- ( ( ch -> ( ps -> th ) ) -> ( ch -> ( ph -> th ) ) )